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Finding the Third Proportional to 49,906.75 and 108,121

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Solution

The third proportional to 49,906.75 and 108,121 is: 234,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.75 : 108,121 = 108,121 : x
  2. Step 2: Convert to fraction form
    49,906.75/108,121 = 108,121/x
  3. Step 3: Cross multiply
    49,906.75x = 108,121 × 108,121
  4. Step 4: Simplify right side
    49,906.75x = 11,690,150,641
  5. Step 5: Solve for x
    x = 11,690,150,641/49,906.75
  6. Step 6: Final answer
    x = 234,239.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.